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Find the volume of the triangular prism:

formula: V=12x base x height x length

Question 4 options:

A: 39 units3
B: 90 units3
C: 1,944 units3
D: 972 units3

Answer:

5

Step-by-step explanation:

i took the test

The required length of one side of the given regular pentagon is  5 units.

Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons, etc

Here,
We can use the formula for the area of a regular pentagon to solve for the length of one side,
Area = (1/2) * Perimeter * Apothem

Since the pentagon is regular, all sides are equal, so we can write:

Perimeter = 5 * Length of one side

Substitute in the first expression

50 = (1/2) * 5 * Length of one side * 4

50 = 10 * Length of one side

Length of one side = 5

Learn more about polygon here:
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Answer:

2+x=5

X+1=4

0-5+X= -2

These are the answers

Answer:

x = 21

Step-by-step explanation:

x : 6 = 7 : 2

x/6 = 7/2

x/6 = 21/6

x = 21

Answer:

yeah whats the question asking >:(

Answer:

x=5

Step-by-step explanation:

Step 1: you want to have x alone on one side so I will subtract one x from both sides (to remove the 1 x on the right side). Now we're left with 3x=15.

Step 2: Divide both sides by 3 (to remove the 3 in front of 3x). Now we have x=5.

Answer:

step 1. mHT = 2(74) = 148°. the arc measures twice the angle when crossing the circle.

Answer:

=8x^4+2x^3−6x^2+21x−18

Step-by-step explanation:

(2x2+2x−3)(4x2−3x+6)

Answer:

Non Linear

Step-by-step explanation:

Its non-linear because when you put X to the second power, it will change the function into a quadratic function

Answer:

A translation followed by a rotation would do it if they are congruent, which they should be.

Step-by-step explanation:

A transformation to move the corresponding points of each shape to the other, and a rotation to rotate the shape until the shapes map onto each other.

Answer:

No

Step-by-step explanation:

If you try to multiply the 2:4 to change it to 5:6 , you can't because 5 is an odd number and 2 is and even

Answer:  14,533.79 don´t take my word for it

Step-by-step explanation:

Future Value of Annuity Due

P = 2,000

r = 5.5% (0.055)

n = 6

1.055 * (2,000 * [(1 + 0.055)^6 - 1)/(0.055)])

= 14,533.79

Answer:

-50x - 66

Step-by-step explanation:

Answer:

-50x - 66

Step-by-step explanation:

1 9/26

Then your initial equation becomes:

7/2÷13/5

=7×5

 2×13

=35/26

       35/26=1 9/26

Answer:

1 [tex]\frac{9}{26}[/tex]

Step-by-step explanation:

Given

3 [tex]\frac{1}{2}[/tex] ÷ 2 [tex]\frac{3}{5}[/tex] ← change mixed numbers to improper fractions

= [tex]\frac{7}{2}[/tex] ÷ [tex]\frac{13}{5}[/tex]

To perform the division

Leave the first fraction, change division to multiplication and turn the second fraction upside down.

= [tex]\frac{7}{2}[/tex] × [tex]\frac{5}{13}[/tex] ← multiply numerators/ denominators together

= [tex]\frac{35}{26}[/tex]

= 1 [tex]\frac{9}{26}[/tex]

Answer:

-7, 7

Step-by-step explanation:

Answer:

option a c d are correct

Step-by-step explanation:

    Since, the item was burried at the midpoint of the segment joining bowl and the tool. Archaeologist should dig at the midpoint which is at (2, 7).

        Mid-point = [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]

Given points representing a bowl and a tool are (1, 4) and (3, 10).

Since, an item is burried at the midpoint of the segment joining bowl and tool,

Use the expression for the position of the mid-point of the segment.

Position of the item → [tex](\frac{1+3}{2},\frac{4+10}{2})[/tex]

                                 → (2, 7)

       Hence, position of the burried item will be at (2, 7).

Learn more to get the center of a segment joining two points here,

https://brainly.com/question/10677252?referrer=searchResults

Answer:

23.1

Step-by-step explanation:

14/20*x/33

Cross multiply

14*33=20*x

462=20*x

462/20=x

23.1=x

Hope this helps :)

Answer:

According to the ratio of segments:-

[tex]20x=14(33)[/tex]

[tex]20x=462[/tex]

Answer:

x=-4/5 y= -33/5

Step-by-step explanation:

y=-3x-9

2x+3x+9=5

       5x=-4

x=-4/5

Then plug it in into an equation.....2(-4/5)-y=5

-8/5-y=25/5

-y=33/5

y=-33/5

You can check if you want

Answer:

x = -4/5, y = -6 3/5

Step-by-step explanation:

The way to use substitution to solve is to isolate (Put it on one side without anything else on that side of the equation) a variable. We can use the first equation to isolate y. We can add y on both sides to get that 2x = y + 5 and then subtract by 5 on both sides to get that y = 2x - 5. Next, we can substitute 2x - 5 in for y in the second equation because y = 2x - 5. We would get that 3x + 2x - 5 = -9, so 5x - 5 = -9, and if you add by 5 on both sides, you get 5x = -4. Finally, we can divide by 5 on both sides to get that x = -4/5. If you want to find y, we can find it by substituting x into the equation 2x - 5 = y. 2 * -4/5 - 5 is equal to y, so -8/5 - 5 = y, and lastly, y = -6 3/5

Answer:

c

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

Answer:

x = 3

y = 4

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Angles.

Complementary angles sum up together to become 90°.

Supplementary Angles sum up together to become 180°.

hence,

1.) Ans ==>Angle ABC and Angle NMP

2.) Ans ==> angle ABC and angle EFG

Answer:

the answer to that is -1i

Step-by-step explanation:

cause if you add negative and positve you get to subtract it and get the sign of the highest number

Answer:

√x+6=x-6

squarring both side

x+6=x²-12x+36

0=x²-12x-x+36-6

x2-13x+30=0

x²-10x-3x+30=0

x(x-10)-3(x-10)=0

(x-10)(x-3)=0

either

x=10

or

x=3

Answer:

D:X=10

Explanation

Answer:

x = 70 degrees, red arc= 110 degrees

Step-by-step explanation:

x and 2x-30 added together is 180 degrees.

We can make an equation to find x,

x + (2x - 30) = 180

3x - 30 = 180

Add 30 to both sides to isolate x

3x = 210

By dividing both sides by 3, we get x = 70

Now we know the red arc is 2x - 30. We can plug x in because we know the value now.

2(70) - 30

140 - 30

Red Arc = 110 degrees

The value of x = 70 degrees, and the measure red arc of 110 degrees,

In the case when (2x - 30) degrees  and x degrees are given.

Since

x + (2x - 30) = 180

3x - 30 = 180

3x = 210

x = 70

Now

= 2(70) - 30

= 140 - 30

= 110 degrees

hence, The value of x = 70 degrees, and the measure red arc of 110 degrees

Learn more about arc here: https://brainly.com/question/24494304

Answer:

i am not smart

Step-by-step explanation:

The sum of the angles in a triangle is 180°, If I remember correctly.

Answer:

U (7,1)

T (10,1)

V (7,9)

S (10,9)

Step-by-step explanation:

The image of the rectangle STUV after a reflection over the line y= –x is attached below.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The coordinates of the points in the graph are S(-9,-10) , T(-1,-110) , U(-1,-7) , V(-9,-7)

We have to graph the image of the rectangle STUV after a reflection over the line y= –x

The points obtained after graphing ate,

U (7,1)

T (10,1)

V (7,9)

S (10,9)

Thus, the image of the rectangle STUV after a reflection over the line y= –x is attached below.

Learn more about the geometric transformation here:

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Answer:

Step-by-stepMONNKKKKKK explanation: